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Finding the Fourth Proportional to 540.63, 810.53 and 232.23

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Solution

The fourth proportional to 540.63, 810.53 and 232.23 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.63 : 810.53 = 232.23 : x
  2. Step 2: Convert to fraction form
    540.63/810.53 = 232.23/x
  3. Step 3: Cross multiply
    540.63x = 810.53 × 232.23
  4. Step 4: Simplify right side
    540.63x = 188,228.22
  5. Step 5: Solve for x
    x = 188,228.22/540.63
  6. Step 6: Final answer
    x = 348.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.